Final answer:
he graph that shows the solution set for the inequality -4.4 > 1.6x - 3.6 is the graph with an open circle at -0.5 and an arrow pointing to the left, which is picture 4
The correct answer is option 4) picture 4
Step-by-step explanation:
To determine which graph shows the solution set for the inequality -4.4 > 1.6x - 3.6, we can solve the inequality to find the values of x that satisfy the inequality.
First, let's isolate the variable x by adding 3.6 to both sides of the inequality:
-4.4 + 3.6 > 1.6x
-0.8 > 1.6x
Next, divide both sides of the inequality by 1.6 to solve for x:
-0.8 / 1.6 > x
-0.5 > x
So, the inequality simplifies to x < -0.5.
The graph that represents this solution set is a number line with an open circle at -0.5 and an arrow pointing to the left. This indicates that all values of x less than -0.5 satisfy the original inequality.
Therefore, the graph that shows the solution set for the inequality -4.4 > 1.6x - 3.6 is the graph with an open circle at -0.5 and an arrow pointing to the left.
The correct answer is option 4) picture 4
Your question is incomplete, but most probably the full question was:
Which graph shows the solution set for -4.4> 1.6X -3.6? ( See the image below)
Picture 1
Picture 2
Picture 3
Picture 4